Stationary analysis of the infinite-server queue modulated by a multi-phase Markovian environment

被引：0
|
作者：
Senlin Yu
Zaiming Liu
机构：
[1] Central South University,School of Mathematics and Statistics
来源：
Journal of Applied Mathematics and Computing | 2018年 / 58卷
关键词：
M/M/; queue; Markovian environment; Supplementary variable; 60K25; 68M20; 90B22;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider an infinite-server queue, where the arrival and service rates are both governed by a continuous-time Markov chain that is independent of all other aspects of the queue. Through constructing a pretty Markov process, several performance measures are derived by using the supplementary variable technique. In addition, special cases and numerical examples are studied in detail.
引用
收藏
页码：33 / 46
页数：13
相关论文
共 50 条
  • [1] Stationary analysis of the infinite-server queue modulated by a multi-phase Markovian environment
    Yu, Senlin
    Liu, Zaiming
    [J]. JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2018, 58 (1-2) : 33 - 46
  • [2] An infinite-server queue influenced by a semi-Markovian environment
    Brian H. Fralix
    Ivo J. B. F. Adan
    [J]. Queueing Systems, 2009, 61 : 65 - 84
  • [3] An infinite-server queue influenced by a semi-Markovian environment
    Fralix, Brian H.
    Adan, Ivo J. B. F.
    [J]. QUEUEING SYSTEMS, 2009, 61 (01) : 65 - 84
  • [4] Analysis of an Infinite-Server Queue with Batch Markovian Arrival Streams
    H. Masuyama
    T. Takine
    [J]. Queueing Systems, 2002, 42 : 269 - 296
  • [5] Analysis of an infinite-server queue with batch Markovian arrival streams
    Masuyama, H
    Takine, T
    [J]. QUEUEING SYSTEMS, 2002, 42 (03) : 269 - 296
  • [6] Diffusion approximation of an infinite-server queue under Markovian environment with rapid switching
    Sen, Ankita
    Selvaraju, N.
    [J]. STATISTICS & PROBABILITY LETTERS, 2023, 195
  • [7] Tail asymptotics of a Markov-modulated infinite-server queue
    Blom, J.
    De Turck, K.
    Kella, O.
    Mandjes, M.
    [J]. QUEUEING SYSTEMS, 2014, 78 (04) : 337 - 357
  • [8] Tail asymptotics of a Markov-modulated infinite-server queue
    J. Blom
    K. De Turck
    O. Kella
    M. Mandjes
    [J]. Queueing Systems, 2014, 78 : 337 - 357
  • [9] INFINITE-SERVER QUEUE WITH POISSON ARRIVALS AND SEMI-MARKOVIAN SERVICES
    NEUTS, MF
    CHEN, SZ
    [J]. OPERATIONS RESEARCH, 1972, 20 (02) : 425 - &
  • [10] A Functional Central Limit Theorem for a Markov-Modulated Infinite-Server Queue
    Anderson, D.
    Blom, J.
    Mandjes, M.
    Thorsdottir, H.
    de Turck, K.
    [J]. METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY, 2016, 18 (01) : 153 - 168
12345